Euler hydrodynamics for attractive particle systems in random environment
Annales de l'I.H.P. Probabilités et statistiques, Volume 50 (2014) no. 2, pp. 403-424.

We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.

Nous obtenons la limite hydrodynamique trempée, sous un changement d’échelle hyperbolique, pour un système de particules attractif sur en milieu aléatoire ergodique, avec un nombre borné de particules par site. Notre résultat est une loi forte des grands nombres. Nous l’illustrons sur différents exemples.

DOI: 10.1214/12-AIHP510
Classification: 60K35, 82C22
Keywords: hydrodynamic limit, attractive particle system, scalar conservation law, entropy solution, random environment, quenched disorder, generalized misanthropes and $k$-step models
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     title = {Euler hydrodynamics for attractive particle systems in random environment},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
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Bahadoran, C.; Guiol, H.; Ravishankar, K.; Saada, E. Euler hydrodynamics for attractive particle systems in random environment. Annales de l'I.H.P. Probabilités et statistiques, Volume 50 (2014) no. 2, pp. 403-424. doi : 10.1214/12-AIHP510. http://archive.numdam.org/articles/10.1214/12-AIHP510/

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